(2.77 x 10^-5)x (3.29 x 10^-4)Perform using scientific notation

Answer:[tex]\left(2.77 \times 10^{-5}\right) \times\left(3.29 \times 10^{-4}\right) = 91133 \times 10^{-13} \text { or } 0.0000000091133[/tex]Solution: The given equation is,  [tex]\left(2.77 \times 10^{-5}\right) \times\left(3.29 \times 10^{-4}\right)[/tex]Simplifying the equation we get, [tex]\left(\left(\frac{277}{100}\right) \times 10^{-5}\right) \times\left(\frac{329}{100} \times 10^{-4}\right)[/tex][tex]\Rightarrow \left(\left(\frac{277}{10^{2}}\right) \times 10^{-5}\right) \times\left(\left(\frac{329}{10^{2}}\right) \times 10^{-4}\right)[/tex][tex]\Rightarrow \left(\left(277 \times 10^{-2}\right) \times 10^{-5}\right) \times\left(\left(329 \times 10^{-2}\right) \times 10^{-4}\right)[/tex][tex]\Rightarrow \left(277 \times\left(10^{-2} \times 10^{-5}\right)\right) \times\left(329 \times\left(10^{-2} \times 10^{-4}\right)\right)[/tex][tex]\Rightarrow \left(277 \times 10^{-2-5}\right) \times\left(329 \times 10^{-2-4}\right)[/tex][tex]\Rightarrow \left(277 \times 10^{-7}\right) \times\left(329 \times 10^{-6}\right)[/tex][tex]\Rightarrow 277 \times 329 \times\left(10^{-7} \times 10^{-6}\right)[/tex][tex]\Rightarrow 277 \times 329 \times 10^{-13}[/tex][tex]\Rightarrow 91133 \times 10^{-13} \text { or } 0.0000000091133[/tex]